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Finding the Fourth Proportional to 25,205.74, 37,790.06 and 8,561.30

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Solution

The fourth proportional to 25,205.74, 37,790.06 and 8,561.30 is: 12,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.74 : 37,790.06 = 8,561.30 : x
  2. Step 2: Convert to fraction form
    25,205.74/37,790.06 = 8,561.30/x
  3. Step 3: Cross multiply
    25,205.74x = 37,790.06 × 8,561.30
  4. Step 4: Simplify right side
    25,205.74x = 323,531,808.92
  5. Step 5: Solve for x
    x = 323,531,808.92/25,205.74
  6. Step 6: Final answer
    x = 12,835.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.